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topological completeness的中文,翻译,解释,例句

topological completeness

topological completeness的基本解释
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拓扑完备性

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It investigates mainly the dualinvariant of λ- multiplier convergent series, the full invariant ofλ-multiplier convergent series, the λ- multiplier convergent series in spaceswith a basis, the compact sets in the infinite matrix topological algebras, thecharacteristics of have the same compact sets in different topologies,the weak sequentially completeness of , the characteristics ofSchur-matrices, the characteristics of p- uniform Toeplitz matrices and theEberlein-Smulian theorem in the locally convex spaces, etc.

主要研究了〓数乘收敛级数的对偶不变性,〓数乘收敛级数的全程不变性,有基空间中的〓数乘收敛级数,无穷矩阵拓扑代数〓中的紧集,〓在不同拓扑下具有相同紧集的刻划,〓的弱序列完备性,Schur—矩阵的刻划,p-一致Toeplitz矩阵的刻划以及局部凸空间上的Eberlein—Smulian定理等。

We introduce the uniform Hausdorff metric H on the space 〓 offuzzy complex numbers and investigate the topological structure of 〓.We show the completeness of 〓 and study on 〓 limits of thesequence of fuzzy complex numbers,metrical and leverwise convergence,and relation between metrical convergence and leverwise convergence.Weprove the equivalence theorem of metrical convergence and leverwiseconvergence on 〓.

在模糊复数空间〓上引进一致Hausdorff度量H,讨论了模糊复数空间的拓扑结构,证明了的完备性,并在完备的模糊复数度量空间上研究了模糊复数列的极限、度量收敛和水平收敛,讨论了度量收敛与水平收敛之间的关系,在上证明了度量收敛与水平收敛的等价性定理。

Prove the same completeness of the two topological vector space of linear topological equivalence.

证明两个线性拓扑等价的拓扑向量空间具有相同的完备性。

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topological completeness:拓扑完备性

topological circle 拓扑圆 | topological completeness 拓扑完备性 | topological complex 拓扑复形